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Finding the Fourth Proportional to 23,126.70, 31,914.87 and 12,516.31

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Solution

The fourth proportional to 23,126.70, 31,914.87 and 12,516.31 is: 17,272.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,126.70 : 31,914.87 = 12,516.31 : x
  2. Step 2: Convert to fraction form
    23,126.70/31,914.87 = 12,516.31/x
  3. Step 3: Cross multiply
    23,126.70x = 31,914.87 × 12,516.31
  4. Step 4: Simplify right side
    23,126.70x = 399,456,406.53
  5. Step 5: Solve for x
    x = 399,456,406.53/23,126.70
  6. Step 6: Final answer
    x = 17,272.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.